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Finding the Fourth Proportional to 214,701.29, 322,051.94 and 66,957.29

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Solution

The fourth proportional to 214,701.29, 322,051.94 and 66,957.29 is: 100,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,701.29 : 322,051.94 = 66,957.29 : x
  2. Step 2: Convert to fraction form
    214,701.29/322,051.94 = 66,957.29/x
  3. Step 3: Cross multiply
    214,701.29x = 322,051.94 × 66,957.29
  4. Step 4: Simplify right side
    214,701.29x = 21,563,723,698.78
  5. Step 5: Solve for x
    x = 21,563,723,698.78/214,701.29
  6. Step 6: Final answer
    x = 100,435.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.